The coordinates of three points in the coordinate plane are A(-2,-3), B(5,-3), C(2,2). Find the coordinates of D if ABCD is a parrallelogram

The coordinates of D are (-5,2).

Step-by-step explanation:

Given : The coordinates of three points in the coordinate plane are A(-2,-3), B(5,-3), C(2,2).

Let the coordinates of vertex D be (x,y).

Since ABCD is an parallelogram , then

Mid point of AC = Mid point of BD  [Diagonals of parallelogram,bisects each other.]   (i)

Formula for mid point between line joining (a,b) and (c,d)=

Mid point of AC =

Mid point of BD =

From (i) , we have

Hence, the coordinates of D are (-5,2).

segment bisector

step-by-step explanation:

line segment bisector. definition: a line, ray or segment which cuts another line segment into two equal parts. try this drag one of the orange dots at a or b and note the the line ab always divides the line pq into two equal parts.

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